The template for the IH5 system is any hexagon having two opposite sides both equal and parallel to one another, and another two adjacent sides also equal to one another. All six sides can be shaped as indicated by the half-arrows. The template and any tile shape formed from it have no internal symmetry, as indicated by the dog. An example of a template is

A translation cluster is

A section of the tiling formed by this template is shown below, with a translation cluster outlined.  The two basic translations are indicated by  the vectors drawn from the highlighted cluster. The tiling has two different centres of two-fold rotation symmetry, and two different axes of glide reflection symmetry; an example of each is shown. The  symmetry group of the tiling is  pgg.
 

As an example, a shaped tile, based on a design by Escher and which, with decoration, can be made to look like a fish is

Four different colours are required in the tiles to avoid tiles of the same colour being adjacent to one another. But notice that tiles of the same orientation take on alternate colours.

 Author - Tom P McLean --- tom.mclean@virgin.net